Article ID Journal Published Year Pages File Type
1860734 Physics Letters A 2016 6 Pages PDF
Abstract

•We construct a reciprocal transformation for a coupled Camassa–Holm type equation proposed by Geng and Xue.•The transformed coupled Camassa–Holm type system is a reduction of the first negative flow in a modified Drinfeld–Sokolov III hierarchy.•The Lax pair and bi-Hamiltonian structure behaviors of the coupled Camassa–Holm type equation under the reciprocal transformation are analyzed.

A coupled Camassa–Holm type equation is linked to the first negative flow in a modified Drinfeld–Sokolov III hierarchy by a transformation of reciprocal type. Meanwhile the Lax pair and bi-Hamiltonian structure behaviors of this coupled Camassa–Holm type equation under the reciprocal transformation are analyzed.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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